THE UNITY OF CONSCIOUSNESS AS A FIXED POINT: Why the Binding of Experience Is the Uniqueness of a Self-Referential Attractor, Not the Combination of Parts

Abstract

Abstract The unity of consciousness — that a subject’s many simultaneous contents are given as one field rather than as a collection — is standardly explained as a product of combination: contents are bound into unity by neural synchrony, global broadcast, or informational integration. Every such account inherits a shared assumption, that unity is assembled from parts, and each therefore faces a version of the combination problem: why should any process of binding many things yield one experiential field rather than many, or none? This paper argues that the assumption is the error. It develops a formal result — the Unity Theorem — on which the unity of a conscious field is not produced by combining parts but is the uniqueness of the fixed point of a self-referential system. The argument models a reflexively closed system as a self-referential update map T on a complete metric space X of its orientational configurations; shows that reflexive closure is exactly the contraction condition of Banach’s Fixed-Point Theorem; and concludes that such a system has exactly one stable configuration to which all others converge. Experiential unity is then not a further achievement requiring a binding mechanism but the formal identity of a single self-referential process: there is one field because there is one attractor. The account reverses the direction of explanation of the combination problem (the question becomes why we expected multiplicity, not how unity is built), yields three corollaries — the stability of unity under perturbation, a predicted relation between self-referential depth and the recovery-rate of experiential coherence after disruption, and a structural condition for the splitting of one field into two — and issues a falsifiable prediction distinguishing it from combination-based accounts. The paper marks precisely what is mathematically demonstrated (the uniqueness result, given the premises) and what remains an interpretive premise (that reflexive closure is genuinely contractive, and that the formal fixed point models phenomenal unity rather than merely correlating with it). Keywords: unity of consciousness; binding problem; combination problem; self-reference; fixed point; Banach fixed-point theorem; contraction mapping; phenomenal unity; integrated information; panpsychism; philosophy of mind; Alguilas -AI